English Medium कक्षा ९ - CBSE Question Bank Solutions for Mathematics

Through A, B and C, lines RQ, PR and QP have been drawn, respectively parallel to sides BC, CA and AB of a ∆ABC as shown in the following figure. Show that BC = `1/2` QR.

A square is inscribed in an isosceles right triangle so that the square and the triangle have one angle common. Show that the vertex of the square opposite the vertex of the common angle bisects the hypotenuse.